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Chapter 2: Q51P (page 45)
A certain ohmic resistor has a resistance of .A second resistor is made of the same material but is three times as long and has half the cross-sectional area. What is the resistance of the second resistor? What is the effective resistance of the two resistors in series?
(i), (ii)
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For each graph of vx vs. t numbered 1-6 in Figure, choose the letter (a-i) corresponding to the appropriate description of motion of a fan cart moving along a track. Not all descriptions will be used. Assume the usual coordinate system (+x to the right, +y up. +z out of the page).
(a) A cart moves to the left, gradually slowing down.
(b) A cart moves to the right, gradually speeding up.
(c) A cart moves to the left at a constant speed.
(d) A cart moves to the left, gradually slowing down, stops, and moves to the right, speeding up.
(e) A cart remains stationary and does not move.
(f) A cart moves to the right, gradually slowing down,
(g) A cart moves to the right. gradually slowing down, stops, and moves to the left, speeding up.
(h) A cart moves to the left, gradually speeding up.
(i) A cart moves to the right at a constant speed.
Question: A truck driver slams on the brakes and the momentum of the truck changes fromtoindue to a constant force of the road on the wheels of the truck. As a vector, write the net force exerted on the truck by the surroundings.
A spacecraft traveling at a velocity of is observed to be at a location relative to an origin located on a nearby asteroid. At a later time the spacecraft is at location .
(a)How long did it take the spacecraft to travel between these locations?
(b)How far did the spacecraft travel?
(c)What is the speed of the spacecraft?
(d)What is the unit vector in the direction of the spacecraft’s velocity?
You drop a piece of paper, and observe that it eventually falls at a constant speed. Which of the following statements about this situation is based on a fundamental physics principle? (a) Because the paper is moving downward, we know that it experiences a nonzero net downward force. (b) Since the momentum of the paper does not change from one instant to the next, , and therefore the net force on the paper must be zero. (2) You give a push to a toy car, which rolls away smoothly on a wooden floor. Why does the car keep moving after your hand is no longer touching it? (a) The momentum of the car just after it leaves your hand reflects the total impulse given to the car by your hand. (b) Your hand continues to exert a force on the car even after the car and hand no longer touch.
Question: A truck driver slams on the brakes and the momentum of the truck changes from toindue to a constant force of the road on the wheels of the truck. As a vector, write the net force exerted on the truck by the surroundings.
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